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In this article we review computational aspects of Deep Learning (DL). Deep learning uses network architectures consisting of hierarchical layers of latent variables to construct predictors for high-dimensional input-output models. Training…

Machine Learning · Computer Science 2019-08-30 Nicholas Polson , Vadim Sokolov

We develop a methodology that utilizes deep learning to simultaneously solve and estimate canonical continuous-time general equilibrium models in financial economics. We illustrate our method in two examples: (1) industrial dynamics of…

Computational Finance · Quantitative Finance 2023-05-18 Benjamin Fan , Edward Qiao , Anran Jiao , Zhouzhou Gu , Wenhao Li , Lu Lu

Deep generative models (DGMs) are effective on learning multilayered representations of complex data and performing inference of input data by exploring the generative ability. However, little work has been done on examining or empowering…

Machine Learning · Computer Science 2015-12-16 Chongxuan Li , Jun Zhu , Tianlin Shi , Bo Zhang

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

Flatness of the loss landscape has been widely studied as an important perspective for understanding the behavior and generalization of deep learning algorithms. Motivated by this view, we propose Flatness-Aware Stochastic Gradient Langevin…

Machine Learning · Computer Science 2026-05-28 Stefano Bruno , Youngsik Hwang , Jaehyeon An , Sotirios Sabanis , Dong-Young Lim

Neural Linear Models (NLM) are deep Bayesian models that produce predictive uncertainties by learning features from the data and then performing Bayesian linear regression over these features. Despite their popularity, few works have…

Machine Learning · Statistics 2021-12-17 Sujay Thakur , Cooper Lorsung , Yaniv Yacoby , Finale Doshi-Velez , Weiwei Pan

This paper presents a new deep learning approach for video-based scene classification. We design a Heterogeneous Deep Discriminative Model (HDDM) whose parameters are initialized by performing an unsupervised pre-training in a layer-wise…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Mohammad Tavakolian , Abdenour Hadid

The Drift-Diffusion Model (DDM) is widely used in neuropsychological studies to understand the decision process by incorporating both reaction times and subjects' responses. Various models have been developed to estimate DDM parameters,…

Applications · Statistics 2025-07-03 Zekai Jin , Yaakov Stern , Seonjoo Lee

Stochastic gradient descent (SGD) is of fundamental importance in deep learning. Despite its simplicity, elucidating its efficacy remains challenging. Conventionally, the success of SGD is ascribed to the stochastic gradient noise (SGN)…

Machine Learning · Computer Science 2023-02-21 Chengli Tan , Jiangshe Zhang , Junmin Liu

We introduce a semi-supervised discrete choice model to calibrate discrete choice models when relatively few requests have both choice sets and stated preferences but the majority only have the choice sets. Two classic semi-supervised…

Machine Learning · Statistics 2017-02-20 Jie Yang , Sergey Shebalov , Diego Klabjan

Deep neural network (DNN) models have demonstrated impressive performance in various domains, yet their application in cognitive neuroscience is limited due to their lack of interpretability. In this study we employ two structurally…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Murat Kucukosmanoglu , Javier O. Garcia , Justin Brooks , Kanika Bansal

With the increasing deployment of machine learning models in many socially sensitive tasks, there is a growing demand for reliable and trustworthy predictions. One way to accomplish these requirements is to allow a model to abstain from…

Machine Learning · Computer Science 2024-09-19 Andrea Pugnana , Lorenzo Perini , Jesse Davis , Salvatore Ruggieri

This paper discusses capabilities that are essential to models applied in policy analysis settings and the limitations of direct applications of off-the-shelf machine learning methodologies to such settings. Traditional econometric…

Machine Learning · Computer Science 2021-01-26 Youssef M. Aboutaleb , Mazen Danaf , Yifei Xie , Moshe Ben-Akiva

Stochastic gradient MCMC methods, such as stochastic gradient Langevin dynamics (SGLD), employ fast but noisy gradient estimates to enable large-scale posterior sampling. Although we can easily extend SGLD to distributed settings, it…

Machine Learning · Statistics 2021-06-16 Khaoula El Mekkaoui , Diego Mesquita , Paul Blomstedt , Samuel Kaski

Context: Automated software defect prediction (SDP) methods are increasingly applied, often with the use of machine learning (ML) techniques. Yet, the existing ML-based approaches require manually extracted features, which are cumbersome,…

Software Engineering · Computer Science 2022-10-06 Görkem Giray , Kwabena Ebo Bennin , Ömer Köksal , Önder Babur , Bedir Tekinerdogan

Linear mixed models (LMMs) are instrumental for regression analysis with structured dependence, such as grouped, clustered, or multilevel data. However, selection among the covariates--while accounting for this structured…

Methodology · Statistics 2022-04-20 Daniel R. Kowal

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

Species distribution models (SDMs), which aim to predict species occurrence based on environmental variables, are widely used to monitor and respond to biodiversity change. Recent deep learning advances for SDMs have been shown to perform…

Machine Learning · Computer Science 2025-11-14 Catherine Villeneuve , Benjamin Akera , Mélisande Teng , David Rolnick

In this work, we propose a novel backward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations (BSDEs), where the deep neural network (DNN) models are trained not only…

Numerical Analysis · Mathematics 2024-04-15 Lorenc Kapllani , Long Teng

Learning interpretable representations of neural dynamics at a population level is a crucial first step to understanding how observed neural activity relates to perception and behavior. Models of neural dynamics often focus on either…

Machine Learning · Statistics 2025-01-13 Noga Mudrik , Yenho Chen , Eva Yezerets , Christopher J. Rozell , Adam S. Charles